Online GCD Calculator is useful to find the GCD of 534, 196, 356, 378 quickly. Get the easiest ways to solve the greatest common divisor of 534, 196, 356, 378 i.e 2 in different methods as follows.
Given Input numbers are 534, 196, 356, 378
In the factoring method, we have to find the divisors of all numbers
Divisors of 534 :
The positive integer divisors of 534 that completely divides 534 are.
1, 2, 3, 6, 89, 178, 267, 534
Divisors of 196 :
The positive integer divisors of 196 that completely divides 196 are.
1, 2, 4, 7, 14, 28, 49, 98, 196
Divisors of 356 :
The positive integer divisors of 356 that completely divides 356 are.
1, 2, 4, 89, 178, 356
Divisors of 378 :
The positive integer divisors of 378 that completely divides 378 are.
1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
GCD of numbers is the greatest common divisor
So, the GCD (534, 196, 356, 378) = 2.
Given numbers are 534, 196, 356, 378
The list of prime factors of all numbers are
Prime factors of 534 are 2 x 3 x 89
Prime factors of 196 are 2 x 2 x 7 x 7
Prime factors of 356 are 2 x 2 x 89
Prime factors of 378 are 2 x 3 x 3 x 3 x 7
The highest common occurrence is 21
Therefore, GCD of 534, 196, 356, 378 is 2.
Given numbers are 534, 196, 356, 378
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(534, 196) = 52332
GCD(534, 196) = ( 534 x 196 ) / 52332
= 534 / 196
= 534
Step2:
LCM(2, 356) = 356
GCD(2, 356) = ( 2 x 356 ) / 356
= 2 / 356
= 2
Step3:
LCM(2, 378) = 378
GCD(2, 378) = ( 2 x 378 ) / 378
= 2 / 378
= 2
So, Greatest Common Divisor of 534, 196, 356, 378 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 534, 196, 356, 378
The greatest common divisor of numbers 534, 196, 356, 378 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 534, 196, 356, 378 is 2.
1. What is the GCD of 534, 196, 356, 378?
GCD of given numbers 534, 196, 356, 378 is 2
2. How to calculate the greatest common divisor of 534, 196, 356, 378?
We can find the highest common divisor of 534, 196, 356, 378 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 534, 196, 356, 378 i.e 2.
3. How can I use the GCD of 534, 196, 356, 378Calculator?
Out the numbers 534, 196, 356, 378 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.